Show that the matrix has eigenvalues 3, 0, 0 and construct three mutually orthogonal eigenvectors.

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Show that the matrix

1 1 A = 1 1 1 1 1 1 1

has eigenvalues 3, 0, 0 and construct three mutually orthogonal eigenvectors.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 11, 2024 12:00 AM

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Show that the matrix has eigenvalues 3, 0, 0 and construct three mutually orthogonal eigenvectors.

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The characteristic equation is 12 1 1 0 1 12 1 223 1 1 12 so has roots 3 0 0 For the eigenvalue 3 ...View the full answer

Modern Engineering Mathematics

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